Upper Maxwellian Bounds for the Spatially Homogeneous Boltzmann Equation

被引：0
作者：
I. M. Gamba
V. Panferov
C. Villani
机构：
[1] University of Texas at Austin,Department of Mathematics
[2] McMaster University,Department of Mathematics and Statistics
[3] UMPA,undefined
[4] ENS Lyon,undefined
来源：
Archive for Rational Mechanics and Analysis | 2009年 / 194卷
关键词：
Boltzmann Equation; Comparison Principle; Linear Boltzmann Equation; Moment Inequality; Collision Kernel;
D O I：
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中图分类号：
学科分类号：
摘要：
For the spatially homogeneous Boltzmann equation with cutoff hard potentials, it is shown that solutions remain bounded from above uniformly in time by a Maxwellian distribution, provided the initial data have a Maxwellian upper bound. The main technique is based on a comparison principle that uses a certain dissipative property of the linear Boltzmann equation. Implications of the technique to propagation of upper Maxwellian bounds in the spatially-inhomogeneous case are discussed.
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页码：253 / 282
页数：29
相关论文
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